MinT - Information on Result #1023553

Information on Result #1023553

Linear OOA(2²³⁵, 82, F₂, 3, 125) (dual of [(82, 3), 11, 126]-NRT-code), using repeating each code word 2 times based on linear OOA(2¹¹², 41, F₂, 3, 62) (dual of [(41, 3), 11, 63]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(2⁵⁰, 20, F₂, 3, 31) (dual of [(20, 3), 10, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2⁶², 21, F₂, 3, 62) (dual of [(21, 3), 1, 63]-NRT-code), using
  - dual of repetition NRT-code with length 21 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.